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Two capacitors of capacities 5 μF and 10 μF respectively are connected in series. Calculate the resultant capacity of the combination. - Physics

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प्रश्न

Two capacitors of capacities 5 μF and 10 μF respectively are connected in series. Calculate the resultant capacity of the combination.

संख्यात्मक

उत्तर

Given: C1 = 5 µF, C2 = 10 µF,

To find: Cs = ?

C1 and C2 are in series.

`1/"C"_"s" = 1/"C"_1 + 1/"C"_2`

⇒ `1/"C"_"s" = 1/5 + 1/10`

⇒ `1/"C"_"s" = (2 + 1)/10`

⇒ `1/"C"_"s" = 3/10`

⇒ `"C"_"s" = 10/3 ~~ 3.33 mu F`

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